What Are Generalizations in Mathematics? by Katherine Scott https://padlet.com/kascot15/fojjeobmj0hdnw5t Wathall Ch. 3 en-us 2023-02-12 04:53:25 UTC 2023-02-12 05:53:51 UTC hello@padlet.com Generalizations kascot15 https://padlet.com/kascot15/fojjeobmj0hdnw5t/wish/2477645982 -Statements of conceptual understandings. 
-They give us explanations of why and what we want our students to comprehend in terms of the relationship between two or more concepts. 
-They are the 'big ideas' of the unit. 
-They provide goals when unit planning and help learners make connections between concepts. 
-They're two types of generalizations
-AKA: enduring understandings, statements of inquiry

]]> 2023-02-12 05:01:10 UTC https://padlet.com/kascot15/fojjeobmj0hdnw5t/wish/2477645982 Overarching Generalizations kascot15 https://padlet.com/kascot15/fojjeobmj0hdnw5t/wish/2477649121 -Beyond the specifics of the unit.
-They are the larger understandings that usually take longer periods.

]]> 2023-02-12 05:15:02 UTC https://padlet.com/kascot15/fojjeobmj0hdnw5t/wish/2477649121 Topical Generalizations kascot15 https://padlet.com/kascot15/fojjeobmj0hdnw5t/wish/2477649642 -They are specific topics or subjects.
- Particular understanding from within the unit. 

]]> 2023-02-12 05:16:50 UTC https://padlet.com/kascot15/fojjeobmj0hdnw5t/wish/2477649642 Principles kascot15 https://padlet.com/kascot15/fojjeobmj0hdnw5t/wish/2477649966 -Foundational truths or laws 
-Theorems in math are known as 'principles'. 
-Generalizations are more universal than Principles]]> 2023-02-12 05:18:26 UTC https://padlet.com/kascot15/fojjeobmj0hdnw5t/wish/2477649966 Why do we wish our students to understand principles and generalizations in mathematics? kascot15 https://padlet.com/kascot15/fojjeobmj0hdnw5t/wish/2477651912 -Guiding students to particular principles or generalizations is through inquiry is effective for learning in mathematics.
-Promoting mathematical generalizations is at the core of learning the subject. 
-It helps students understand how or why they are learning what they are learning. ]]> 2023-02-12 05:28:08 UTC https://padlet.com/kascot15/fojjeobmj0hdnw5t/wish/2477651912 What is the difference between Level 1, 2, and 3 generalizations? kascot15 https://padlet.com/kascot15/fojjeobmj0hdnw5t/wish/2477652693 Level 1: Students will understand that....
Level 2: How or why..
Level 3: What is the significance or effect? 

The teaching target is at Level 2, and Level 3 is for extra clarification or extensions when needed. Level 1 is the helping step to use the right verbs and grammar. ]]> 2023-02-12 05:31:50 UTC https://padlet.com/kascot15/fojjeobmj0hdnw5t/wish/2477652693 kascot15 https://padlet.com/kascot15/fojjeobmj0hdnw5t/wish/2477653746 "Adapted from original Structure of Process figure from Transitioning to Concept-Based Curriculum and Instruction, Corwin Press Publishers, Thousand Oaks, CA." 
Concept-Based Mathematics
Teaching for Deep Understanding in Secondary Classrooms
by Jennifer T.H. Wathall]]> 2023-02-12 05:36:52 UTC https://padlet.com/kascot15/fojjeobmj0hdnw5t/wish/2477653746 Opportunities for students to demonstrate and communicate their conceptual understandings. kascot15 https://padlet.com/kascot15/fojjeobmj0hdnw5t/wish/2477655630 -Students can use graphic organizers to visualize how concepts are related, then be able to draw generalizations.
-At the end of the unit you can give ask students to complete the sentence, "I understand that..."
-Students can create a concept math.
-You can ask students to give a headline for the lesson. ]]> 2023-02-12 05:46:10 UTC https://padlet.com/kascot15/fojjeobmj0hdnw5t/wish/2477655630 kascot15 https://padlet.com/kascot15/fojjeobmj0hdnw5t/wish/2477656845 2023-02-12 05:51:27 UTC https://padlet.com/kascot15/fojjeobmj0hdnw5t/wish/2477656845